Challenge From Last Time:

There are four people (a,b,c,d) behind whom a volcano
is erupting. They can get to safety if they cross a bridge that's
right in front of them. They have 17 minutes to cross the bridge
before the lava consumes them and the bridge (they have to be
completely across the bridge after 17 minutes or they fall to an
unpleasant death). The bridge can only hold 2 people at a time.
Also, it is dark, so they must cross the bridge with a flashlight,
but they only have 1 for the whole group. Moreover, they all walk
at different paces. It takes them 1, 2, 5, and 10 minutes to cross
the bridge respectively, and if 2 people cross at the same time,
they walk at the pace of the slower person. Can they all cross the
bridge before they are fed alive to the fiery gods of the volcano?
If so how? If not, why?

A mathematician meets another mathematician in a store. Here
is their dialogue:A: How have you been?B: Great! Since we last talked, I've gotten married and had
3 kidsA: Really, how old are they?B: The product of their ages is 72 and the sum of their
ages is the same as the number of that building over
there.A: Right, ok... Oh wait... Hmm, I still don't know.B: Oh sorry. The oldest one just started to play the
piano.A: That's great! My oldest is the same age

Can you tell how old mathematician B's kids are? If so,
how old are they? If not, why?

Round and Round we go

Split up into teams of no more than 4. You will receive a slip of
paper with the description of a problem to solve; do NOT share
your problem with another group. You will have to use a loop to
solve the problem. You will have 15 minutes to solve the problem.
You will write it on the board and the rest of the class will try to
guess what your original problem was. Try to use variable names that
do not give the answer away (for example, use x, y, z). Be ready to
lead a discussion on the time complexity of your algorithm (how many
operations it does based on the input size).
List of functions

A Challenge For Next Time:

Somehow you find yourself in a room with 2 identical doors. One will
lead you into an endless maze that will surely result in your death,
the other will take you to freedom and happiness. You must choose
one of the doors eventually because if you stay in the room, you will
starve to death. In the room there are 2 identical talking birds,
one always lies the other always tells the truth. You may ask only
one of the birds only one simple question. This cannot be a
complex sentence with lots of conjunctions. Will you ever get out of
the room? If so, what question should you ask? If not, then why?